Nouaillé-Maupertuis (Vienne). Ancien logis abbatial

Quantum Maupertuis Principle

According to the Maupertuis principle, the movement of a classical particle in an external potential V (x) can be understood as the movement in a curved space with the metric gμν(x) = 2M [V (x) − E]δμν . We show that the principle can be extended to the quantum regime, i.e., we show that the wave function of the particle follows a Schrödinger equation in curved space where the kinetic operator ...

The Jacobi-Maupertuis Principle in Variational Integrators

In this paper, we develop a hybrid variational integrator based on the Jacobi-Maupertuis Principle of Least Action. The Jacobi-Maupertuis principle states that for a mechanical system with total energy E and potential energy V{q), the curve traced out by the system on a constant energy surface minimizes the action given by / y^2{E — V{q))ds where ds is the line element on the constant energy su...

Title Famine and market in Ancien Régime France

Spreading speed and traveling waves for the diffusive logis- tic equation with a sedentary compartment

By applying the theory of asymptotic speeds of spread and traveling waves to the diffusive logistic equation with a sedentary compartment, we establish the existence of minimal wave speed for monotone traveling waves and show that it coincides with the spreading speed for solutions with initial functions having compact supports.

You Only Die Twice : Augustine , Aquinas , the Council of Vienne , and Death by the Brain Criterion

• Nicholas Tonti-Filippini • " The Church holds that death can be diagnosed on the basis of evidence that shows a complete loss of brain function, but may not be diagnosed if there is still some function of the brain. " There are some who take what might be called a " two deaths view " or " mentalist view " about death. This is a view that distinguishes between death of the person and death of ...